2040509491200 has 576 divisors, whose sum is σ = 7588101830400. Its totient is φ = 544106004480.

The previous prime is 2040509491199. The next prime is 2040509491243. The reversal of 2040509491200 is 21949050402.

2040509491200 is a `hidden beast` number, since 2 + 0 + 40 + 509 + 4 + 91 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111965289 + ... + 111983511.

It is an arithmetic number, because the mean of its divisors is an integer number (13173787900).

Almost surely, 2^{2040509491200} is an apocalyptic number.

2040509491200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040509491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3794050915200).

2040509491200 is an abundant number, since it is smaller than the sum of its proper divisors (5547592339200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2040509491200 is an frugal number, since it uses more digits than its factorization.

2040509491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18276 (or 18233 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 2040509491200 in words is "two trillion, forty billion, five hundred nine million, four hundred ninety-one thousand, two hundred".